This replication file contains four documents.

rdd_equiv_simulations.Rmd
	- RMarkdown file containing R code for all simulations, including 
	  results in Figures 1 and 2, and Figure SI-1.
rdd_equiv_simulations.html
	- Compiled HTML file from the runtime "rdd_equiv_simulations.Rmd" 
	  which produced the plots for the manuscript and supplementary materials.

rdd_equiv_application.Rmd
	- RMarkdown file containing R code for all applications, including 
	  results in Figures 3 and 4, and Figure SI-2.
rdd_equiv_application.html
	- Compiled HTML file from the runtime "rdd_equiv_application.Rmd" 
	  which produced the plots for the manuscript and supplementary materials.

Specifications:

All code is run using:
## R version 3.5.1 (2018-07-02)
## Platform: x86_64-apple-darwin15.6.0 (64-bit)
## Processor: 4 GHz Intel Core i7
## Running under: macOS High Sierra 10.13.6
## RAM: 32 GB 1867 MHz DDR3

With parallelization done across 8 cores.

For the rdd_equiv_simulations.Rmd file, the following packages are loaded:

## attached base packages:
## [1] parallel  stats     graphics  grDevices utils     datasets  methods  
## [8] base     
## 
## other attached packages:
##  [1] forcats_0.4.0    stringr_1.4.0    dplyr_0.8.4      purrr_0.3.3     
##  [5] readr_1.3.1      tidyr_1.0.2      tibble_2.1.3     ggplot2_3.2.1   
##  [9] tidyverse_1.3.0  knitr_1.28       kableExtra_1.1.0 rdd_0.57        
## [13] Formula_1.2-3    AER_1.2-9        survival_3.1-8   car_3.0-6       
## [17] carData_3.0-3    lmtest_0.9-37    zoo_1.8-7        sandwich_2.5-1  
## [21] rddensity_1.0    rdrobust_0.99.8 
## 
## loaded via a namespace (and not attached):
##  [1] httr_1.4.1        jsonlite_1.6.1    viridisLite_0.3.0 splines_3.5.1    
##  [5] modelr_0.1.5      assertthat_0.2.1  cellranger_1.1.0  yaml_2.2.1       
##  [9] pillar_1.4.3      backports_1.1.5   lattice_0.20-38   glue_1.3.1       
## [13] digest_0.6.24     rvest_0.3.5       colorspace_1.4-1  htmltools_0.4.0  
## [17] Matrix_1.2-18     pkgconfig_2.0.3   broom_0.5.4       haven_2.2.0      
## [21] scales_1.1.0      webshot_0.5.2     openxlsx_4.1.4    rio_0.5.16       
## [25] generics_0.0.2    withr_2.1.2       lazyeval_0.2.2    cli_2.0.1        
## [29] magrittr_1.5      crayon_1.3.4      readxl_1.3.1      evaluate_0.14    
## [33] fansi_0.4.1       fs_1.3.1          nlme_3.1-144      xml2_1.2.2       
## [37] foreign_0.8-75    tools_3.5.1       data.table_1.12.8 hms_0.5.3        
## [41] lifecycle_0.1.0   munsell_0.5.0     reprex_0.3.0      zip_2.0.4        
## [45] compiler_3.5.1    rlang_0.4.4       grid_3.5.1        rstudioapi_0.11  
## [49] rmarkdown_2.1     gtable_0.3.0      abind_1.4-5       DBI_1.1.0        
## [53] curl_4.3          R6_2.4.1          lubridate_1.7.4   lpdensity_1.0    
## [57] stringi_1.4.6     Rcpp_1.0.4.6      vctrs_0.2.2       dbplyr_1.4.2     
## [61] tidyselect_1.0.0  xfun_0.12

The total runtime for rdd_equiv_simulations.Rmd, with 8 cores and specifications provided above, is 52.16 minutes.

For the rdd_equiv_application.Rmd file, the following packages are loaded:

## attached base packages:
## [1] stats     graphics  grDevices utils     datasets  methods   base     
## 
## other attached packages:
##  [1] dataverse_0.2.0 forcats_0.4.0   stringr_1.4.0   dplyr_0.8.4    
##  [5] purrr_0.3.3     readr_1.3.1     tidyr_1.0.2     tibble_2.1.3   
##  [9] ggplot2_3.2.1   tidyverse_1.3.0 gridExtra_2.3   rdrobust_0.99.8
## [13] rddensity_1.0  
## 
## loaded via a namespace (and not attached):
##  [1] lpdensity_1.0    tidyselect_1.0.0 xfun_0.12        haven_2.2.0     
##  [5] lattice_0.20-38  colorspace_1.4-1 generics_0.0.2   vctrs_0.2.2     
##  [9] htmltools_0.4.0  yaml_2.2.1       rlang_0.4.4      pillar_1.4.3    
## [13] withr_2.1.2      glue_1.3.1       DBI_1.1.0        dbplyr_1.4.2    
## [17] readxl_1.3.1     modelr_0.1.5     lifecycle_0.1.0  cellranger_1.1.0
## [21] munsell_0.5.0    gtable_0.3.0     rvest_0.3.5      evaluate_0.14   
## [25] knitr_1.28       fansi_0.4.1      broom_0.5.4      Rcpp_1.0.4.6    
## [29] scales_1.1.0     backports_1.1.5  jsonlite_1.6.1   fs_1.3.1        
## [33] hms_0.5.3        digest_0.6.24    stringi_1.4.6    grid_3.5.1      
## [37] cli_2.0.1        tools_3.5.1      magrittr_1.5     lazyeval_0.2.2  
## [41] crayon_1.3.4     pkgconfig_2.0.3  xml2_1.2.2       reprex_0.3.0    
## [45] lubridate_1.7.4  rstudioapi_0.11  assertthat_0.2.1 rmarkdown_2.1   
## [49] httr_1.4.1       R6_2.4.1         nlme_3.1-144     compiler_3.5.1

The total runtime for rdd_equiv_application.Rmd with 1 core (not parallelized) and specifications provided above is 2.27 minutes.